6x^2-7x-3=0 Solve by completing the square: x^2-7/6x-1/2=0 (divided everything by 6) To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of bb, the coefficient of x.<span>(b/2)2=<span>(−7/12)<span>2 </span></span></span>x2−7x/6+<span>(−7/12)2</span>=1/2+<span>(−7/12)<span>2 (simplify) </span></span><span><span>x2−<span>7x6</span>+49144=121144</span><span>x2-<span>7x6</span>+49144=121144</span></span>Factor the perfect trinomial square into <span><span>(x−7/12)</span>2</span><span><span><span>(x−7/12)</span>2</span>=<span>121/144 x-7/12=squ. root of +/- 121/144 x-7/12= +/- 11/12 Solution1: x-7/12=11/12 x=18/12 x=3/2 Solution 2: </span></span>x-7/12=-11/12 x=-4/12 <span>x=-1/3 </span>Answers: 3/2, -1/3